121020112000212 has 48 divisors (see below), whose sum is σ = 291491680026624. Its totient is φ = 39038427324000.

The previous prime is 121020112000211. The next prime is 121020112000213. The reversal of 121020112000212 is 212000211020121.

It is an interprime number because it is at equal distance from previous prime (121020112000211) and next prime (121020112000213).

It is a super-3 number, since 3×121020112000212³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121020112000191 and 121020112000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020112000211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46662537 + ... + 49187727.

It is an arithmetic number, because the mean of its divisors is an integer number (6072743333888).

Almost surely, 2^{121020112000212} is an apocalyptic number.

121020112000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121020112000212 is an abundant number, since it is smaller than the sum of its proper divisors (170471568026412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121020112000212 is a wasteful number, since it uses less digits than its factorization.

121020112000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654060 (or 2654058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121020112000212 its reverse (212000211020121), we get a palindrome (333020323020333).

The spelling of 121020112000212 in words is "one hundred twenty-one trillion, twenty billion, one hundred twelve million, two hundred twelve", and thus it is an aban number.